The given statements are followed by two conclusions. Find out which conclusion is FALSE based on the given statements.
Statements:
J > K = L
M ≥ N < K
O < J < P
N = Q ≥ R
Conclusions:
I. P > L
II. K ≥ R
Show answer & explanation
Correct answer: D
Explanation
Let's establish the relationships step by step:
Statement 1: J > K = L → so J > K and K = L (meaning J > L)
Statement 2: M ≥ N < K → so N < K (meaning K > N)
Statement 3: O < J < P → so J < P (meaning P > J)
Statement 4: N = Q ≥ R → so N = Q and Q ≥ R (meaning N ≥ R)
Chain: P > J (from Statement 3) and J > L (from Statement 1)
Therefore: P > J > L → P > L
✅ Conclusion I is TRUE
Checking Conclusion II: K ≥ RChain: K > N (from Statement 2) and N ≥ R (from Statement 4)
Therefore: K > N ≥ R → K > R, which means K ≥ R also holds (since K > R implies K ≥ R)
✅ Conclusion II is TRUE